-5(3m+6)=3(4m-2)

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Solution for -5(3m+6)=3(4m-2) equation:


Simplifying
-5(3m + 6) = 3(4m + -2)

Reorder the terms:
-5(6 + 3m) = 3(4m + -2)
(6 * -5 + 3m * -5) = 3(4m + -2)
(-30 + -15m) = 3(4m + -2)

Reorder the terms:
-30 + -15m = 3(-2 + 4m)
-30 + -15m = (-2 * 3 + 4m * 3)
-30 + -15m = (-6 + 12m)

Solving
-30 + -15m = -6 + 12m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '-12m' to each side of the equation.
-30 + -15m + -12m = -6 + 12m + -12m

Combine like terms: -15m + -12m = -27m
-30 + -27m = -6 + 12m + -12m

Combine like terms: 12m + -12m = 0
-30 + -27m = -6 + 0
-30 + -27m = -6

Add '30' to each side of the equation.
-30 + 30 + -27m = -6 + 30

Combine like terms: -30 + 30 = 0
0 + -27m = -6 + 30
-27m = -6 + 30

Combine like terms: -6 + 30 = 24
-27m = 24

Divide each side by '-27'.
m = -0.8888888889

Simplifying
m = -0.8888888889

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